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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 67 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 15, 12 and 8.
  2. 2.Find the HCF of 28 and 98.
  3. 3.Find the HCF of 16 and 6.
  4. 4.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 4, 15 and 12.
  6. 6.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  7. 7.Find the HCF of 30 and 12.
  8. 8.Find the HCF of 112 and 42.
  9. 9.Find the LCM of 9 and 15.
  10. 10.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  11. 11.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  12. 12.Find the HCF of 135 and 105.
  13. 13.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  14. 14.Find the LCM of 15, 2 and 9.
  15. 15.Find the HCF of 108 and 96.
  16. 16.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  17. 17.Find the LCM of 4, 9 and 3.
  18. 18.Find the HCF of 91 and 104.
  19. 19.Find the LCM of 11, 3 and 2.
  20. 20.Find the HCF of 112 and 126.
  21. 21.Find the LCM of 6 and 5.
  22. 22.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  23. 23.Find the LCM of 18 and 15.
  24. 24.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  26. 26.Find the LCM of 16 and 36.
  27. 27.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  28. 28.Find the LCM of 15 and 35.
  29. 29.Find the HCF of 35 and 45.
  30. 30.Find the LCM of 20 and 8.
  31. 31.Find the HCF of 6 and 9.
  32. 32.Find the LCM of 9, 5 and 12.
  33. 33.Find the LCM of 42 and 36.
  34. 34.Find the HCF of 12 and 14.
  35. 35.Find the LCM of 11, 2 and 8.
  36. 36.Find the LCM of 3, 5 and 2.
  37. 37.Find the LCM of 3 and 4.
  38. 38.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  39. 39.Find the HCF of 21 and 24.
  40. 40.Find the LCM of 2, 3 and 4.

Answer key

  1. 120
  2. 14
  3. 2
  4. 18
  5. 60
  6. 35
  7. 6
  8. 14
  9. 45
  10. 16
  11. 48
  12. 15
  13. 40
  14. 90
  15. 12
  16. 6
  17. 36
  18. 13
  19. 66
  20. 14
  21. 30
  22. 10
  23. 90
  24. 40
  25. 27
  26. 144
  27. 12
  28. 105
  29. 5
  30. 40
  31. 3
  32. 180
  33. 252
  34. 2
  35. 88
  36. 30
  37. 12
  38. 16
  39. 3
  40. 12

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